Stabilization of second order nonlinear equations with variable delay
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Issue Date
2015
Editor
Authors
Berezansky, Leonid
Braverman, Elena
Idels, Lev
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Subject
Abstract
For a wide class of second-order nonlinear non-autonomous models, we illustrate that combining proportional state control with the feedback that is proportional to the derivative of the chaotic signal allows to stabilise unstable motions of the system. The delays are variable, which leads to more flexible controls permitting delay perturbations; only delay bounds are significant for stabilisation by a delayed control. The results are applied to the sunflower equation which has an infinite number of equilibrium points.
Description
This is a submitted manuscript of an article published by Taylor & Francis in International Journal of Control in 2015. The Version of Record of this manuscript has been published and is available at http://www.tandfonline.com/10.1080/00207179.2015.1009948.
Berezansky, L., Braverman, E., & Idels, L. (2015). Stabilisation of second-order nonlinear equations with variable delay. International Journal of Control, 88(8), 1533-1539. DOI: 10.1080/00207179.2015.1009948